# How do you solve y+ \frac { 4} { y } = - 5?

Feb 18, 2017

$y = - 4 , - 1$

#### Explanation:

Multiply y on both sides.

${y}^{2} + 4 = - 5 y$

Add 5y on both sides.

${y}^{2} + 5 y + 4 = 0$

Break it down into binomials.

$\left(y + 4\right) \left(y + 1\right) = 0$

Set
$y + 4 = 0$

Solve for y.

$y = - 4$

Set

$y + 1 = 0$.

Solve for y.

$y = - 1$